On the general variable-coefficient KP equation with self-consistent sources
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Publication:5266098
DOI10.1063/1.3610672zbMath1317.37077OpenAlexW1988115740MaRDI QIDQ5266098
Publication date: 29 July 2015
Published in: Journal of Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1063/1.3610672
Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) KdV equations (Korteweg-de Vries equations) (35Q53) Water waves, gravity waves; dispersion and scattering, nonlinear interaction (76B15)
Cites Work
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- The higher-order KdV equation with a source and nonlinear superposition formula.
- Integrability of the semi-discrete Toda equation with self-consistent sources
- Grammian solutions and pfaffianization of a non-isospectral and variable-coefficient Kadomtsev-Petviashvili equation
- Pfaffianization of the Davey-Stewartson equations
- The \(N\)-soliton solutions of the sine-Gordon equation with self-consistent sources
- Pfaffianization of the two-dimensional Toda lattice
- Exact solutions of the Wick-type stochastic Kadomtsev-Petviashvili equations
- On the pfaffianized-KP equation with self-consistent sources
- Generalizing the KP hierarchies: Pfaffian hierarchies
- Integration of the soliton hierarchy with self-consistent sources
- A bilinear approach to a Pfaffian self-dual Yang-Mills equation
- Pfaffianization of the discrete KP equation
- Two binary Darboux transformations for the KdV hierarchy with self-consistent sources
- Integration of the Korteweg-de Vries equation with a source
- Exact Solution of the Korteweg—de Vries Equation for Multiple Collisions of Solitons
- Construction of dKP and BKP equations with self-consistent sources
- Hierarchies of Coupled Soliton Equations. I
- Nonlinear superposition formula of the KdV equation with a source
- Line soliton interactions of a nonisospectral and variable-coefficient Kadomtsev–Petviashvili equation
- Negatons, positons, rational-like solutions and conservation laws of the Korteweg–de Vries equation with loss and non-uniformity terms
- Soliton, Positon and Negaton Solutions to a Schrödinger Self-consistent Source Equation
- Painlevé Analysis and the Complete Integrability of a Generalized Variable-Coefficient Kadomtsev-Petviashvili Equation
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